I've got one you can buy lol..... 250 isn't much of a budget, neither is 350, will got a little farther if you have an OS but still....
Then again, if it doesn't have to accomplish much you can likely do an onboard graphic machine with 8gigs of ram and a smallish HDD, buy a cheapy case that comes with a PSU and you will be solid
https://pcpartpicker.com/list/dGzf2RAPU driven so graphics is bundled with the CPU, 8 gigs of ram, 250gb hdd, basic case and psu, basic DVD drive, all in your budget
For 350 you can bump up to an A10 APU and a bigger HDD, or go with a different processor and get a low end dedicated graphics, if its needed